Question 1097044

A certain congressional committee consists of 12 senators and 14 representatives.  How many ways can a subcommittee of 5 be formed if at least 4 of the members must be senators?
<pre>Choosing 4 senators from 12 senators, times choosing 1 rep, from 14 reps., PLUS Choosing 5 senators from 12 senators, times choosing 0 reps, from 14 reps. This is: {{{highlight_green(matrix(1,12, ""[12]C[4], "*",  "" [14]C[1], "+", ""[12]C[5], "=", "6,930", "+", 792, "=", "7,722", ways))}}} <======= Correct answer